Amicable Numbers Calculator

The Amicable Numbers Calculator is an online tool used to check if two numbers are amicable numbers.

Eg, Are 220 and 284 amicable numbers? Enter 220 into the first input box and enter 284 into the second input box.

What are the amicable numbers?

Amicable numbers are two positive integers whose sum of all proper factors of each is equal to the other number.

For example: Are 220 and 284 amicable numbers?

The proper factors of 220 are: 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110. Their sum is: 1 + 2 + 4 + 5 + 10 + 11 + 20 + 22 + 44 + 55 + 110 = 248.

The proper factors of 284 are: 1, 2, 4, 71 and 142. The sum of them is: 1 + 2 + 4 + 71 + 142 = 220.

As you can see, the sum of their proper factors is equal to another number, so 220 and 284 are amicable numbers.

Commonly used 20 pairs of amicable numbers:

The procedure to use the amicable numbers calculator is as follows:

1Enter 2 positive integers in the two input boxes respectively.
2Click Calculate button to check whether the input numbers are amicable numbers.
3Click the Reset button to start a new verification.

Enter 60 into the first input box.

Enter 84 into the second input box.

Then click Calculate button, as shown in the figure, 60 and 84 are not amicable numbers.

The sum of all proper factors of 60 is:

1 + 2 + 3 + 4 + 5 + 6 + 10 + 12 + 15 + 20 + 30 = 108

The sum of all proper factors of 84 is:

1 + 2 + 3 + 4 + 6 + 7 + 12 + 14 + 21 + 28 + 42 = 140

Enter 64 into the first input box.

Enter 100 into the second input box.

Then click Calculate button, as shown in the figure, 64 and 100 are not amicable numbers.

The sum of all proper factors of 64 is:

1 + 2 + 4 + 8 + 16 + 32 = 63

The sum of all proper factors of 100 is:

+ 2 + 4 + 5 + 10 + 20 + 25 + 50 = 117

Enter 1184 into the first input box.

Enter 1210 into the second input box.

Then click Calculate button, as shown in the figure, 1184 and 1210 are amicable numbers.

The sum of all proper factors of 1184 is:

1 + 2 + 4 + 8 + 16 + 32 + 37 + 74 + 148 + 296 + 592 = 1210

The sum of all proper factors of 1210 is:

1 + 2 + 5 + 10 + 11 + 22 + 55 + 110 + 121 + 242 + 605 = 1184